Lesson 1.1 Variables and Expressions (1.01, 1.02)

1. Lesson 1.1 Variables and Expressions (1.01, 1.02) a math statement without an equal sign (simplify, evaluate, or factor) Expression a math statement with an equal sign (solve) Equation Inequality a math statement with an <, >, <, or > (solve )

2. Example 1: Simplifying Expressions [A] 3x + 5x – 2x [B] 13x + 5w – 2x – 3w

3. Example 2: Evaluating Expressions Evaluate the following expressions. Let x = 10 and y = 2. [A] 3x2 – 5y3 [B] 5(x – 3y)

4. Addition, sum, total, together, more than, and, increased, plus Subtraction, difference, less than, take away , decreased, minus Times, product, multiplied, each, per Quotient, divided, of, ratio Equals, same as, equivalent to, identical, as much as, is

5. Translating Verbal Expressions 5 – m [1] 5 less m [2] 5 less than m [3] 5 is less than m m – 5 5 < m [4] 4 more w [5] 4 more than w [6] 4 is more than w 4 + w w + 4 4 > w

6. Translating Verbal Expressions Continued [7] x is at least 12 [8] m is at most 12 [9] twice m is at least 10 x > 12 m < 12 2m > 10 [10] 4 less than triple m [11] 14 less than twice w [12] 4 is at least double m 3m – 4 2w – 14 4 > 2m

7. Classwork 1.1 (1.01, 1.02) Simplify the following Expressions. [1] 8x – 5x + 2x [2] 5w – 3w + 12 [3] 12 – 2w + 5w + 10 [4] 15 – 5x + 10x – 6

8. Classwork 1.1 (1.01, 1.02) Evaluate the following Expressions. Let x = 12 and w = 6 [5] 2x – 2w [6] 5(3x – w) [7] 10(x – w)2 [8] 5(w2 – 2x)

9. Classwork 1.1 (1.01, 1.02) Translate the following verbal expressions [9] 10 less triple x [10] 21 less than 6 times m [11] 2 more than double m [12] w is at most 16

10. Classwork 1.1 (1.01, 1.02) Translate the following verbal expressions [13] 21 is at least twice m [14] 4 more than double the sum of m and 4 [15] 4 less than triple the sum of [16] 12 less double the m and 8 is 28. difference of m and 10 is at most 24.

11. Word Problems [1] Lorenzo bought several pounds of honey roasted peanuts and gave the cashier a $20 bill. Write an expression for the amount of change he will receive if p is the cost of peanuts. 20-p [2] A bakery sells a dozen bagels for $8.50 and a dozen doughnuts for $3.99. Write an expression for the cost of buying b dozen bagels and d dozen doughnuts. 8.50b+3.99d

12. Word Problems cont’d [3] Each person in the United States produces approximately 3.5 pounds of trash each day. Write an expression representing the pounds of trash produced in a family with m members. 3.5m